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Finding the Fourth Proportional to 3,052.32, 4,578.96 and 1,203.44

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Solution

The fourth proportional to 3,052.32, 4,578.96 and 1,203.44 is: 1,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.32 : 4,578.96 = 1,203.44 : x
  2. Step 2: Convert to fraction form
    3,052.32/4,578.96 = 1,203.44/x
  3. Step 3: Cross multiply
    3,052.32x = 4,578.96 × 1,203.44
  4. Step 4: Simplify right side
    3,052.32x = 5,510,480.73
  5. Step 5: Solve for x
    x = 5,510,480.73/3,052.32
  6. Step 6: Final answer
    x = 1,805.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.